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# John and Mary were each paid x dollars in advance to do a certain job together

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John and Mary were each paid x dollars in advance to do a certain job together, John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance ?

(A) 4y
(B) 5y
(C) 6y
(D) 8y
(E) 9y

1
Suppose the hourly rate of wages is \$1.
Since John works for 10 hours he earns \$1*10 = \$10 (=J)
And As Mary works 8 hours (10 - 2), she earns = \$8 (=M)
So total advance payment = J+M = \$18
Each of them receives x dollars in advance, a = 18/2 => \$9 each
John has been given the advance payment of \$9, but he must earn \$10
Similarly Mary has been give the advance payment of \$9 but she must \$8
Thus the difference is \$1. Mary should give John \$1.
The question asks for the amount that John is paid in advance: \$9.
This is our target.
Now we plug y=1 into the answers to see which yields our target of 9.
9y = 9*1 = 9.
answered Sep 27, 2014 by Partner (696 points)
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Jyotsna Mehta